泊松-德劳内三角网上的视线考克斯渗滤

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY Stochastic Processes and their Applications Pub Date : 2024-07-20 DOI:10.1016/j.spa.2024.104435

David Corlin Marchand , David Coupier , Benoît Henry

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引用次数: 0

摘要

本文研究了城市环境中设备到设备（D2D）网络的渗流特性。在一个由 Poisson-Delaunay 三角剖分（PDT）建模的街道系统上，用户分为两类：一类是由 PDT 边上（即街道上）的 Cox 过程提供的，另一类是由 PDT 顶点上（即十字路口处）的 Bernoulli 过程提供的。根据模型的参数，我们为所得到的连通图描述了几种渗滤状态。这项工作完善并明确了 Le Gall 等人（2021 年）的研究成果。为此，我们利用了一种受增强技术启发的渗滤工具，据我们所知，该工具首次用于通信网络。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Line-of-sight Cox percolation on Poisson–Delaunay triangulation

In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. On a street system modeled by a Poisson–Delaunay triangulation (PDT), users are of two types: given either by a Cox process supported by the edges of the PDT (i.e. on streets) or by a Bernoulli process on the vertices of the PDT (i.e. at crossroads). We state several percolation regimes for the resulting connectivity graph according to the parameters of the model. This work completes and specifies results of Le Gall et al. (2021). To do it, we take advantage of a percolation tool, inspired by enhancement techniques, used to our knowledge for the first time in the context of communication networks.

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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.